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Finding the Fourth Proportional to 70,756.76, 97,642.74 and 38,924.96

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Solution

The fourth proportional to 70,756.76, 97,642.74 and 38,924.96 is: 53,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,756.76 : 97,642.74 = 38,924.96 : x
  2. Step 2: Convert to fraction form
    70,756.76/97,642.74 = 38,924.96/x
  3. Step 3: Cross multiply
    70,756.76x = 97,642.74 × 38,924.96
  4. Step 4: Simplify right side
    70,756.76x = 3,800,739,748.79
  5. Step 5: Solve for x
    x = 3,800,739,748.79/70,756.76
  6. Step 6: Final answer
    x = 53,715.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.